212601167 has 16 divisors (see below), whose sum is σ = 237219840. Its totient is φ = 189501312.

The previous prime is 212601161. The next prime is 212601173. The reversal of 212601167 is 761106212.

It is an interprime number because it is at equal distance from previous prime (212601161) and next prime (212601173).

It is not a de Polignac number, because 212601167 - 2¹² = 212597071 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212601161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37634 + ... + 42912.

It is an arithmetic number, because the mean of its divisors is an integer number (14826240).

Almost surely, 2^212601167 is an apocalyptic number.

212601167 is a deficient number, since it is larger than the sum of its proper divisors (24618673).

212601167 is a wasteful number, since it uses less digits than its factorization.

212601167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 212601167 is about 14580.8493236848. The cubic root of 212601167 is about 596.8362798526.

Adding to 212601167 its reverse (761106212), we get a palindrome (973707379).

The spelling of 212601167 in words is "two hundred twelve million, six hundred one thousand, one hundred sixty-seven".